As someone was raised in the Catholic Church, I understand your concern. We were taught that only those who received the sacrament of baptism could go to heaven. The rest? “No soup for you!” (my apologies for the Seinfeld reference). I actually remember in grade school being taught how to perform an emergency baptism with orange juice so that if the situation arose we could save the soul of a dying infant.
But the Bible teaches that baptism requires a profession of faith. Infants are not only incapable of the mental capacity for such professions, but the physical ability to express them. For that reason, our nondenominational church does not baptize infants. Most of the mainline Protestant churches I knew felt the same way.
Now, with respect to the theology of non-baptized infants not going to heaven and the sprinkling of water (or immersion) being a prerequisite for salvation, I’ve seen folks quote biblical references both for and against it, often devoid of the understanding that God speaks to us using both literal and metaphorical language. Furthermore, nowhere did Jesus baptize infants or instruct anyone to do so.
Let’s look at Luke 24:39-43. This takes place as Jesus is hanging on the cross, crucified along with two criminlas.
39 One of the criminals who hung there hurled insults at him: “Aren’t you the Messiah? Save yourself and us!”
40 But the other criminal rebuked him. “Don’t you fear God,” he said, “since you are under the same sentence? 41 We are punished justly, for we are getting what our deeds deserve. But this man has done nothing wrong.”
42 Then he said, “Jesus, remember me when you come into your kingdom.”
43 Jesus answered him, “Truly I tell you, today you will be with me in paradise.”
Did Jesus ask someone from the crowd to throw water on the criminal so he could be saved? No. And yet Jesus said to him, “Truly I tell you, today you will be with me in paradise.”
What did Jesus say in Mark 10:14?
“Let the little children come to me, and do not hinder them, for the kingdom of God belongs to such as these.”
Jesus didn’t say anything about “baptized children.” And while he laid hands on the children and blessed them, he didn’t take them down to the river and baptize them.
So I guess what I’m saying is that if not having your child baptized will cause you anguish (and that’s neither right nor wrong), then please seek out someone who will do it for you. But in the end, Jesus never taught that the sprinkling of water was a requirement for salvation.